λ statistical quasi-Cauchy sequences in metric spaces
8th International Conference of Mathematical Sciences, ICMS 2024, Hybrid, Istanbul, Türkiye, 11 - 15 Eylül 2024, cilt.3431, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 3431
- Doi Numarası: 10.1063/5.0290310
- Basıldığı Şehir: Hybrid, Istanbul
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Convergece of sequences, quasi-Cauchy sequences, λ-statistically convergence
- Erciyes Üniversitesi Adresli: Evet
Özet
In this study we first consider the sequences in the sense of λ-statistical quasi Cauchy together with the functions preserving the convergence of this kind of sequences called ward continuous functions in a metric space X. Then we relate this kind of continuity with some others. We finally reach such a result that λ-statistically ward continuity of a function with domain a ward compact in λ-statistically sense subset E X implies the uniformly continuity of the function.